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3 years ago

14

Of 12 customers at one restaurant 10 said that they were very satisfied with the service. Predict the number of satisfied custom

ers of 300 people are at the restaurant

1 answer:

Andrew [12]3 years ago

3 0

10/12= .83 x 300= 250

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a rally car course covers 51 5.97 miles .the winning car completed the course in 6.5 hours. what was the average speed of the wi

Artyom0805 [142]

Assuming the speed is in miles per hour, simply divide the total distance by time.
515.97/6.5
The answer is 79.38 miles per hour

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4 years ago

A doctor studying nutrition collected data on the weights (in kilograms) of infants in North Africa. The table below shows the m

kipiarov [429]

Answer:

Step-by-step explanation:

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4 years ago

The distance s (in feet) covered by a car t sec after starting is given by the following function. s = −t3 + 11t2 + 20t (0 ≤ t ≤

VladimirAG [237]

8.94

Answer:

Step-by-step explanation:

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4 years ago

Find a third degree polynomial function of the lowest degree that has the zeros below and whose leading coefficient is one.

Tanzania [10]

Answer:

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is $p(x) = x^{3}-5\cdot x^{2}-6\cdot x$ .

Step-by-step explanation:

From Fundamental Theorem of Algebra, we remember that the degree of the polynomials determine the number of roots within. Since we know three roots, then the factorized form of the polynomial function with the lowest degree is:

$p(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3}) = 0$ (1)

Where $r_{1}$ , $r_{2}$ and $r_{3}$ are the roots of the polynomial.

If we know that $r_{1} = -1$ , $r_{2} = 0$ and $r_{3} = 6$ , then the polynomial function in factorized form is:

$p(x) = (x+1)\cdot x \cdot (x-6)$ (2)

And by Algebra we get the standard form of the function:

$p(x) = x\cdot (x+1)\cdot (x-6)$

$p(x) = x\cdot (x^{2}-5\cdot x -6)$

$p(x) = x^{3}-5\cdot x^{2}-6\cdot x$ (3)

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is $p(x) = x^{3}-5\cdot x^{2}-6\cdot x$ .

6 0

3 years ago

A line passes through the point ( 18 , − 11 ) and has a slope of − 5 . Write an equation in slope-intercept form for this line.

fenix001 [56]

Answer:

The equation of the line in the slope-intercept form is y = -5x + 79

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope of the line
b is the y-intercept

∵ The slope of the line is -5

∴ m = -5

∵ The form of the equation is y = m x + b

→ Substitute the values of m in the form of the equation

∴ y = -5x + b

→ To find b substitute x and y in the equation by the coordinates

of any point on the line

∵ The line passes through the point (18, -11)

∴ x = 18 and y = -11

∵ -11 = -5(18) + b

∴ -11 = -90 + b

→ Add 90 to both sides to find b

∵ -11 + 90 = -90 + 90 + b

∴ 79 = b

→ Substitute it in the equation

∴ y = -5x + 79

∴ The equation of the line in the slope-intercept form is y = -5x + 79

7 0

3 years ago